Question: (a) Let '(x) be continuous. Show that (b) Explain the result of part (a) graphically. lim h0 f(x+h)-f(x - h) 2h h) = f'(x).

(a) Let ƒ'(x) be continuous. Show that

lim h0 f(x+h)-f(x - h) 2h h) = f'(x).

(b) Explain the result of part (a) graphically.

lim h0 f(x+h)-f(x - h) 2h h) = f'(x).

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b lim h0 fx hfx ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

(b) Apply the result of part (a) to 1.00 kg of water initially at a temperature of 373 K as the heat source for the engine and Tc = 273 K. How much total mechanical work can be performed by the...

Q:

Continuation of Problem 65. Use the result of part (b) in Problem 65 for the motion along a single axis in the following situation. Frame A in Figure is attached to a particle that moves with...

Q:

Using the result of part (a) In Problem 58, take into account radiation from the leaf to calculate how much water must be transpired (evaporated) by the leaf per hour to maintain a temperature of...

Q:

please this calculus homework in detail and ensure no ai generated work. This is for grade 12 calculus & vectors. Thanks for your help :) Reminder: Taylor Series expansions and special rules from...

Q:

buckley (jdb4687) - HW05 - beshaj - (53521) This print-out should have 25 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001...

Q:

MATH 2500: TAKE HOME 02 (30 points.) NAME: DUE: Wednesday, June 3rd by 8 AM. DIRECTIONS: To receive full credit, make sure your work is neat and complete. 1. Let f (x) = x + sin(x) 1. (a) Explain why...

Q:

for x 0 (a) Show that f(x) is continuous at x = 0 by evaluating lim f (x) = x-0 f(0) = E (b) Evaluate the following one-sided limits: f(0 + h) - f(0) lim = E h-0- h lim f(0 + h) - f(0) E h- 0+ h (c)...

Q:

#1 STA355H1F due Wednesay, October 5, 2016 Problems to hand in: 1. Suppose that X1 , , Xn are independent Exponential random variables with density f (x; ) = exp(x) for x 0 where > 0 is an unknown...

Q:

please solve these 9 problems and show me your work .! Consider the position function s(t) = - 4.9t + 29t + 18. Complete the following table with the appropriate average velocities and then make a...

Q:

please solve these 8 problems and show me your work !!! thank you Consider the position function s(t) = - 4.9t + 29t + 18. Complete the following table with the appropriate average velocities and...

Q:

Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 110 miles per week to commute to work. With gas prices currently at $2.51 per gallon, he is...

Q:

Find the increment of the free energy of the surface layer when two identical mercury droplets, each of diameter d = 1.5 mm, merge isothermally.

Q:

The evening manager of a restaurant was very concerned about the length of time some customers were waiting in line to be seated. She also had some concern about the seating timesthat is, the length...

Q:

20. Which of the charts is the most effective in describing the data? Diamonds Are Forever! Much of the worlds diamond mining industry is located in Africa, Russia, and Canada. A visual...

Q:

In problem, each equation has a solution r in the interval indicated. Use the method of Example 9 to approximate this solution correct to two decimal places. 8x 4 - 2x 2 + 5x - 1 = 0; 0 r 1

Q:

In problem, analyze each polynomial function by following Steps 1 through 6. f(x) = (x - 2) 2 (x + 2)(x + 4)

Q:

In problem, find the complex zeros of each polynomial function f(x).Write f in factored form. f(x) = x 4 + 6x 3 + 11x 2 + 12x + 18

Q:

09.03-PR003 Hyundai USA has numerous robotic welders as well as robotic checkers with vision. One underbody robotic welder was installed and is increasing productivity by 2.5% in one area. The result...

Q:

1. Stock in Blue Sky Inc. is currently priced at $28 per share. A call option with a $35 strike and 60 days to maturity is quoted at $1.22. Compare the percentage gains and losses for both options...

Q:

open answer In your opinion, what the biggest Pro of debt financing and Con of debt financing? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac)